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12874420 = 225133293
BaseRepresentation
bin110001000111…
…001010110100
3220020002101101
4301013022310
511243440140
61135535444
7214300516
oct61071264
926202341
1012874420
1172a3819
12438a584
13288a000
1419d1bb6
1511e499a
hexc472b4

12874420 has 48 divisors (see below), whose sum is σ = 29388240. Its totient is φ = 4737408.

The previous prime is 12874417. The next prime is 12874427. The reversal of 12874420 is 2447821.

It can be written as a sum of positive squares in 8 ways, for example, as 6290064 + 6584356 = 2508^2 + 2566^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12874427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43794 + ... + 44086.

It is an arithmetic number, because the mean of its divisors is an integer number (612255).

Almost surely, 212874420 is an apocalyptic number.

12874420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12874420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14694120).

12874420 is an abundant number, since it is smaller than the sum of its proper divisors (16513820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12874420 is a wasteful number, since it uses less digits than its factorization.

12874420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 12874420 is about 3588.0942016619. The cubic root of 12874420 is about 234.3738878762.

The spelling of 12874420 in words is "twelve million, eight hundred seventy-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 293 338 586 676 845 1172 1465 1690 2197 2930 3380 3809 4394 5860 7618 8788 10985 15236 19045 21970 38090 43940 49517 76180 99034 198068 247585 495170 643721 990340 1287442 2574884 3218605 6437210 12874420